Finding the Third Proportional to 320,498 and 498,228
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Solution
The third proportional to 320,498 and 498,228 is: 774,516.97
Step by Step Solution
- Step 1: Write the proportion equation
320,498 : 498,228 = 498,228 : x - Step 2: Convert to fraction form
320,498/498,228 = 498,228/x - Step 3: Cross multiply
320,498x = 498,228 × 498,228 - Step 4: Simplify right side
320,498x = 248,231,139,984 - Step 5: Solve for x
x = 248,231,139,984/320,498 - Step 6: Final answer
x = 774,516.97
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.